Overview

Dataset statistics

Number of variables25
Number of observations30000
Missing cells0
Missing cells (%)0.0%
Duplicate rows0
Duplicate rows (%)0.0%
Total size in memory5.7 MiB
Average record size in memory200.0 B

Variable types

NUM21
BOOL2
CAT2

Warnings

BILL_AMT2 is highly correlated with BILL_AMT1 and 1 other fieldsHigh correlation
BILL_AMT1 is highly correlated with BILL_AMT2High correlation
BILL_AMT3 is highly correlated with BILL_AMT2 and 1 other fieldsHigh correlation
BILL_AMT4 is highly correlated with BILL_AMT3 and 2 other fieldsHigh correlation
BILL_AMT5 is highly correlated with BILL_AMT4 and 1 other fieldsHigh correlation
BILL_AMT6 is highly correlated with BILL_AMT4 and 1 other fieldsHigh correlation
PAY_AMT2 is highly skewed (γ1 = 30.45381745) Skewed
df_index has unique values Unique
PAY_0 has 23182 (77.3%) zeros Zeros
PAY_2 has 25562 (85.2%) zeros Zeros
PAY_3 has 25787 (86.0%) zeros Zeros
PAY_4 has 26490 (88.3%) zeros Zeros
PAY_5 has 27032 (90.1%) zeros Zeros
PAY_6 has 26921 (89.7%) zeros Zeros
BILL_AMT1 has 2008 (6.7%) zeros Zeros
BILL_AMT2 has 2506 (8.4%) zeros Zeros
BILL_AMT3 has 2870 (9.6%) zeros Zeros
BILL_AMT4 has 3195 (10.7%) zeros Zeros
BILL_AMT5 has 3506 (11.7%) zeros Zeros
BILL_AMT6 has 4020 (13.4%) zeros Zeros
PAY_AMT1 has 5249 (17.5%) zeros Zeros
PAY_AMT2 has 5396 (18.0%) zeros Zeros
PAY_AMT3 has 5968 (19.9%) zeros Zeros
PAY_AMT4 has 6408 (21.4%) zeros Zeros
PAY_AMT5 has 6703 (22.3%) zeros Zeros
PAY_AMT6 has 7173 (23.9%) zeros Zeros

Reproduction

Analysis started2021-01-24 20:01:13.359979
Analysis finished2021-01-24 20:02:08.675899
Duration55.32 seconds
Software versionpandas-profiling v2.9.0
Download configurationconfig.yaml

Variables

df_index
Real number (ℝ≥0)

UNIQUE

Distinct30000
Distinct (%)100.0%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean15199.1533
Minimum0
Maximum30200
Zeros1
Zeros (%)< 0.1%
Memory size234.4 KiB
2021-01-24T14:02:08.758182image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum0
5-th percentile1700.95
Q17700.75
median15200.5
Q322700.25
95-th percentile28700.05
Maximum30200
Range30200
Interquartile range (IQR)14999.5

Descriptive statistics

Standard deviation8662.730547
Coefficient of variation (CV)0.5699482317
Kurtosis-1.198709214
Mean15199.1533
Median Absolute Deviation (MAD)7500
Skewness-0.0009321051379
Sum455974599
Variance75042900.53
MonotocityStrictly increasing
2021-01-24T14:02:08.874724image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
20471< 0.1%
 
238731< 0.1%
 
299881< 0.1%
 
258941< 0.1%
 
279431< 0.1%
 
54161< 0.1%
 
74651< 0.1%
 
13221< 0.1%
 
33711< 0.1%
 
136121< 0.1%
 
Other values (29990)29990> 99.9%
 
ValueCountFrequency (%) 
01< 0.1%
 
11< 0.1%
 
21< 0.1%
 
31< 0.1%
 
41< 0.1%
 
ValueCountFrequency (%) 
302001< 0.1%
 
301991< 0.1%
 
301981< 0.1%
 
301971< 0.1%
 
301961< 0.1%
 

LIMIT_BAL
Real number (ℝ≥0)

Distinct81
Distinct (%)0.3%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean167484.3227
Minimum10000
Maximum1000000
Zeros0
Zeros (%)0.0%
Memory size234.4 KiB
2021-01-24T14:02:09.003952image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum10000
5-th percentile20000
Q150000
median140000
Q3240000
95-th percentile430000
Maximum1000000
Range990000
Interquartile range (IQR)190000

Descriptive statistics

Standard deviation129747.6616
Coefficient of variation (CV)0.7746854124
Kurtosis0.5362628964
Mean167484.3227
Median Absolute Deviation (MAD)90000
Skewness0.9928669605
Sum5024529680
Variance1.683445568e+10
MonotocityNot monotonic
2021-01-24T14:02:09.135405image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
50000336511.2%
 
2000019766.6%
 
3000016105.4%
 
8000015675.2%
 
20000015285.1%
 
15000011103.7%
 
10000010483.5%
 
1800009953.3%
 
3600008812.9%
 
600008252.8%
 
Other values (71)1509550.3%
 
ValueCountFrequency (%) 
100004931.6%
 
160002< 0.1%
 
2000019766.6%
 
3000016105.4%
 
400002300.8%
 
ValueCountFrequency (%) 
10000001< 0.1%
 
8000002< 0.1%
 
7800002< 0.1%
 
7600001< 0.1%
 
7500004< 0.1%
 

SEX
Boolean

Distinct2
Distinct (%)< 0.1%
Missing0
Missing (%)0.0%
Memory size234.4 KiB
0
18112 
1
11888 
ValueCountFrequency (%) 
01811260.4%
 
11188839.6%
 
2021-01-24T14:02:09.219777image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

EDUCATION
Categorical

Distinct4
Distinct (%)< 0.1%
Missing0
Missing (%)0.0%
Memory size234.4 KiB
3
14030 
0
10585 
1
4917 
2
 
468
ValueCountFrequency (%) 
31403046.8%
 
01058535.3%
 
1491716.4%
 
24681.6%
 
2021-01-24T14:02:09.290866image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Frequencies of value counts

Unique

Unique0 ?
Unique (%)0.0%
2021-01-24T14:02:09.356392image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:09.432356image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram of lengths of the category

Length

Max length1
Median length1
Mean length1
Min length1

MARRIAGE
Categorical

Distinct4
Distinct (%)< 0.1%
Missing0
Missing (%)0.0%
Memory size234.4 KiB
2
15964 
1
13659 
3
 
323
0
 
54
ValueCountFrequency (%) 
21596453.2%
 
11365945.5%
 
33231.1%
 
0540.2%
 
2021-01-24T14:02:09.529486image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Frequencies of value counts

Unique

Unique0 ?
Unique (%)0.0%
2021-01-24T14:02:09.928711image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:10.004254image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram of lengths of the category

Length

Max length1
Median length1
Mean length1
Min length1

AGE
Real number (ℝ≥0)

Distinct56
Distinct (%)0.2%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean35.4855
Minimum21
Maximum79
Zeros0
Zeros (%)0.0%
Memory size234.4 KiB
2021-01-24T14:02:10.114215image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum21
5-th percentile23
Q128
median34
Q341
95-th percentile53
Maximum79
Range58
Interquartile range (IQR)13

Descriptive statistics

Standard deviation9.217904068
Coefficient of variation (CV)0.2597653709
Kurtosis0.04430337824
Mean35.4855
Median Absolute Deviation (MAD)6
Skewness0.7322458688
Sum1064565
Variance84.96975541
MonotocityNot monotonic
2021-01-24T14:02:10.258077image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
2916055.3%
 
2714774.9%
 
2814094.7%
 
3013954.7%
 
2612564.2%
 
3112174.1%
 
2511864.0%
 
3411623.9%
 
3211583.9%
 
3311463.8%
 
Other values (46)1698956.6%
 
ValueCountFrequency (%) 
21670.2%
 
225601.9%
 
239313.1%
 
2411273.8%
 
2511864.0%
 
ValueCountFrequency (%) 
791< 0.1%
 
753< 0.1%
 
741< 0.1%
 
734< 0.1%
 
723< 0.1%
 

PAY_0
Real number (ℝ≥0)

ZEROS

Distinct9
Distinct (%)< 0.1%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean0.3567666667
Minimum0
Maximum8
Zeros23182
Zeros (%)77.3%
Memory size234.4 KiB
2021-01-24T14:02:10.383636image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum0
5-th percentile0
Q10
median0
Q30
95-th percentile2
Maximum8
Range8
Interquartile range (IQR)0

Descriptive statistics

Standard deviation0.7605941728
Coefficient of variation (CV)2.131909295
Kurtosis12.45880323
Mean0.3567666667
Median Absolute Deviation (MAD)0
Skewness2.809796725
Sum10703
Variance0.5785034957
MonotocityNot monotonic
2021-01-24T14:02:10.467285image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=9)
ValueCountFrequency (%) 
02318277.3%
 
1368812.3%
 
226678.9%
 
33221.1%
 
4760.3%
 
5260.1%
 
8190.1%
 
611< 0.1%
 
79< 0.1%
 
ValueCountFrequency (%) 
02318277.3%
 
1368812.3%
 
226678.9%
 
33221.1%
 
4760.3%
 
ValueCountFrequency (%) 
8190.1%
 
79< 0.1%
 
611< 0.1%
 
5260.1%
 
4760.3%
 

PAY_2
Real number (ℝ≥0)

ZEROS

Distinct9
Distinct (%)< 0.1%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean0.3200333333
Minimum0
Maximum8
Zeros25562
Zeros (%)85.2%
Memory size234.4 KiB
2021-01-24T14:02:10.555009image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum0
5-th percentile0
Q10
median0
Q30
95-th percentile2
Maximum8
Range8
Interquartile range (IQR)0

Descriptive statistics

Standard deviation0.8017273588
Coefficient of variation (CV)2.505137044
Kurtosis7.83849624
Mean0.3200333333
Median Absolute Deviation (MAD)0
Skewness2.598928087
Sum9601
Variance0.6427667578
MonotocityNot monotonic
2021-01-24T14:02:10.638397image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=9)
ValueCountFrequency (%) 
02556285.2%
 
2392713.1%
 
33261.1%
 
4990.3%
 
1280.1%
 
5250.1%
 
7200.1%
 
612< 0.1%
 
81< 0.1%
 
ValueCountFrequency (%) 
02556285.2%
 
1280.1%
 
2392713.1%
 
33261.1%
 
4990.3%
 
ValueCountFrequency (%) 
81< 0.1%
 
7200.1%
 
612< 0.1%
 
5250.1%
 
4990.3%
 

PAY_3
Real number (ℝ≥0)

ZEROS

Distinct9
Distinct (%)< 0.1%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean0.3040666667
Minimum0
Maximum8
Zeros25787
Zeros (%)86.0%
Memory size234.4 KiB
2021-01-24T14:02:10.725837image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum0
5-th percentile0
Q10
median0
Q30
95-th percentile2
Maximum8
Range8
Interquartile range (IQR)0

Descriptive statistics

Standard deviation0.7905889977
Coefficient of variation (CV)2.600051516
Kurtosis10.47514326
Mean0.3040666667
Median Absolute Deviation (MAD)0
Skewness2.85658557
Sum9122
Variance0.6250309633
MonotocityNot monotonic
2021-01-24T14:02:10.806299image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=9)
ValueCountFrequency (%) 
02578786.0%
 
2381912.7%
 
32400.8%
 
4760.3%
 
7270.1%
 
6230.1%
 
5210.1%
 
14< 0.1%
 
83< 0.1%
 
ValueCountFrequency (%) 
02578786.0%
 
14< 0.1%
 
2381912.7%
 
32400.8%
 
4760.3%
 
ValueCountFrequency (%) 
83< 0.1%
 
7270.1%
 
6230.1%
 
5210.1%
 
4760.3%
 

PAY_4
Real number (ℝ≥0)

ZEROS

Distinct9
Distinct (%)< 0.1%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean0.2587666667
Minimum0
Maximum8
Zeros26490
Zeros (%)88.3%
Memory size234.4 KiB
2021-01-24T14:02:10.895171image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum0
5-th percentile0
Q10
median0
Q30
95-th percentile2
Maximum8
Range8
Interquartile range (IQR)0

Descriptive statistics

Standard deviation0.761112643
Coefficient of variation (CV)2.941308681
Kurtosis17.16067039
Mean0.2587666667
Median Absolute Deviation (MAD)0
Skewness3.547022193
Sum7763
Variance0.5792924553
MonotocityNot monotonic
2021-01-24T14:02:10.978508image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=9)
ValueCountFrequency (%) 
02649088.3%
 
2315910.5%
 
31800.6%
 
4690.2%
 
7580.2%
 
5350.1%
 
65< 0.1%
 
82< 0.1%
 
12< 0.1%
 
ValueCountFrequency (%) 
02649088.3%
 
12< 0.1%
 
2315910.5%
 
31800.6%
 
4690.2%
 
ValueCountFrequency (%) 
82< 0.1%
 
7580.2%
 
65< 0.1%
 
5350.1%
 
4690.2%
 

PAY_5
Real number (ℝ≥0)

ZEROS

Distinct8
Distinct (%)< 0.1%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean0.2215
Minimum0
Maximum8
Zeros27032
Zeros (%)90.1%
Memory size234.4 KiB
2021-01-24T14:02:11.068015image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum0
5-th percentile0
Q10
median0
Q30
95-th percentile2
Maximum8
Range8
Interquartile range (IQR)0

Descriptive statistics

Standard deviation0.7177197137
Coefficient of variation (CV)3.240269588
Kurtosis21.31341111
Mean0.2215
Median Absolute Deviation (MAD)0
Skewness3.966570819
Sum6645
Variance0.5151215874
MonotocityNot monotonic
2021-01-24T14:02:11.150281image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=8)
ValueCountFrequency (%) 
02703290.1%
 
226268.8%
 
31780.6%
 
4840.3%
 
7580.2%
 
5170.1%
 
64< 0.1%
 
81< 0.1%
 
ValueCountFrequency (%) 
02703290.1%
 
226268.8%
 
31780.6%
 
4840.3%
 
5170.1%
 
ValueCountFrequency (%) 
81< 0.1%
 
7580.2%
 
64< 0.1%
 
5170.1%
 
4840.3%
 

PAY_6
Real number (ℝ≥0)

ZEROS

Distinct8
Distinct (%)< 0.1%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean0.2265666667
Minimum0
Maximum8
Zeros26921
Zeros (%)89.7%
Memory size234.4 KiB
2021-01-24T14:02:11.241306image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum0
5-th percentile0
Q10
median0
Q30
95-th percentile2
Maximum8
Range8
Interquartile range (IQR)0

Descriptive statistics

Standard deviation0.7154378198
Coefficient of variation (CV)3.157736441
Kurtosis19.93708244
Mean0.2265666667
Median Absolute Deviation (MAD)0
Skewness3.821385108
Sum6797
Variance0.5118512739
MonotocityNot monotonic
2021-01-24T14:02:11.322466image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=8)
ValueCountFrequency (%) 
02692189.7%
 
227669.2%
 
31840.6%
 
4490.2%
 
7460.2%
 
6190.1%
 
513< 0.1%
 
82< 0.1%
 
ValueCountFrequency (%) 
02692189.7%
 
227669.2%
 
31840.6%
 
4490.2%
 
513< 0.1%
 
ValueCountFrequency (%) 
82< 0.1%
 
7460.2%
 
6190.1%
 
513< 0.1%
 
4490.2%
 

BILL_AMT1
Real number (ℝ)

HIGH CORRELATION
ZEROS

Distinct22723
Distinct (%)75.7%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean51223.3309
Minimum-165580
Maximum964511
Zeros2008
Zeros (%)6.7%
Memory size234.4 KiB
2021-01-24T14:02:11.440393image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum-165580
5-th percentile0
Q13558.75
median22381.5
Q367091
95-th percentile201203.05
Maximum964511
Range1130091
Interquartile range (IQR)63532.25

Descriptive statistics

Standard deviation73635.86058
Coefficient of variation (CV)1.437545339
Kurtosis9.806289341
Mean51223.3309
Median Absolute Deviation (MAD)21800.5
Skewness2.663861022
Sum1536699927
Variance5422239963
MonotocityNot monotonic
2021-01-24T14:02:11.578691image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
020086.7%
 
3902440.8%
 
780760.3%
 
326720.2%
 
316630.2%
 
2500590.2%
 
396490.2%
 
2400390.1%
 
416290.1%
 
500250.1%
 
Other values (22713)2733691.1%
 
ValueCountFrequency (%) 
-1655801< 0.1%
 
-1549731< 0.1%
 
-153081< 0.1%
 
-143861< 0.1%
 
-115451< 0.1%
 
ValueCountFrequency (%) 
9645111< 0.1%
 
7468141< 0.1%
 
6530621< 0.1%
 
6304581< 0.1%
 
6266481< 0.1%
 

BILL_AMT2
Real number (ℝ)

HIGH CORRELATION
ZEROS

Distinct22346
Distinct (%)74.5%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean49179.07517
Minimum-69777
Maximum983931
Zeros2506
Zeros (%)8.4%
Memory size234.4 KiB
2021-01-24T14:02:11.723596image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum-69777
5-th percentile0
Q12984.75
median21200
Q364006.25
95-th percentile194792.2
Maximum983931
Range1053708
Interquartile range (IQR)61021.5

Descriptive statistics

Standard deviation71173.76878
Coefficient of variation (CV)1.447236829
Kurtosis10.30294592
Mean49179.07517
Median Absolute Deviation (MAD)20810
Skewness2.705220853
Sum1475372255
Variance5065705363
MonotocityNot monotonic
2021-01-24T14:02:11.856051image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
025068.4%
 
3902310.8%
 
326750.2%
 
780750.2%
 
316720.2%
 
2500510.2%
 
396510.2%
 
2400420.1%
 
-200290.1%
 
416280.1%
 
Other values (22336)2684089.5%
 
ValueCountFrequency (%) 
-697771< 0.1%
 
-675261< 0.1%
 
-333501< 0.1%
 
-300001< 0.1%
 
-262141< 0.1%
 
ValueCountFrequency (%) 
9839311< 0.1%
 
7439701< 0.1%
 
6715631< 0.1%
 
6467701< 0.1%
 
6244751< 0.1%
 

BILL_AMT3
Real number (ℝ)

HIGH CORRELATION
ZEROS

Distinct22026
Distinct (%)73.4%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean47013.1548
Minimum-157264
Maximum1664089
Zeros2870
Zeros (%)9.6%
Memory size234.4 KiB
2021-01-24T14:02:11.990832image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum-157264
5-th percentile0
Q12666.25
median20088.5
Q360164.75
95-th percentile187821.05
Maximum1664089
Range1821353
Interquartile range (IQR)57498.5

Descriptive statistics

Standard deviation69349.38743
Coefficient of variation (CV)1.475106015
Kurtosis19.78325514
Mean47013.1548
Median Absolute Deviation (MAD)19708.5
Skewness3.087830046
Sum1410394644
Variance4809337537
MonotocityNot monotonic
2021-01-24T14:02:12.118529image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
028709.6%
 
3902750.9%
 
780740.2%
 
326630.2%
 
316620.2%
 
396480.2%
 
2500400.1%
 
2400390.1%
 
416290.1%
 
200270.1%
 
Other values (22016)2647388.2%
 
ValueCountFrequency (%) 
-1572641< 0.1%
 
-615061< 0.1%
 
-461271< 0.1%
 
-340411< 0.1%
 
-254431< 0.1%
 
ValueCountFrequency (%) 
16640891< 0.1%
 
8550861< 0.1%
 
6931311< 0.1%
 
6896431< 0.1%
 
6896271< 0.1%
 

BILL_AMT4
Real number (ℝ)

HIGH CORRELATION
ZEROS

Distinct21548
Distinct (%)71.8%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean43262.94897
Minimum-170000
Maximum891586
Zeros3195
Zeros (%)10.7%
Memory size234.4 KiB
2021-01-24T14:02:12.251604image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum-170000
5-th percentile0
Q12326.75
median19052
Q354506
95-th percentile174333.35
Maximum891586
Range1061586
Interquartile range (IQR)52179.25

Descriptive statistics

Standard deviation64332.85613
Coefficient of variation (CV)1.487019671
Kurtosis11.30932483
Mean43262.94897
Median Absolute Deviation (MAD)18656
Skewness2.821965291
Sum1297888469
Variance4138716378
MonotocityNot monotonic
2021-01-24T14:02:12.375587image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
0319510.7%
 
3902460.8%
 
7801010.3%
 
316680.2%
 
326620.2%
 
396440.1%
 
150390.1%
 
2400390.1%
 
2500340.1%
 
1000330.1%
 
Other values (21538)2613987.1%
 
ValueCountFrequency (%) 
-1700001< 0.1%
 
-813341< 0.1%
 
-651671< 0.1%
 
-506161< 0.1%
 
-466271< 0.1%
 
ValueCountFrequency (%) 
8915861< 0.1%
 
7068641< 0.1%
 
6286991< 0.1%
 
6168361< 0.1%
 
5728051< 0.1%
 

BILL_AMT5
Real number (ℝ)

HIGH CORRELATION
ZEROS

Distinct21010
Distinct (%)70.0%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean40311.40097
Minimum-81334
Maximum927171
Zeros3506
Zeros (%)11.7%
Memory size234.4 KiB
2021-01-24T14:02:12.501478image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum-81334
5-th percentile0
Q11763
median18104.5
Q350190.5
95-th percentile165794.3
Maximum927171
Range1008505
Interquartile range (IQR)48427.5

Descriptive statistics

Standard deviation60797.15577
Coefficient of variation (CV)1.508187617
Kurtosis12.30588129
Mean40311.40097
Median Absolute Deviation (MAD)17688.5
Skewness2.876379867
Sum1209342029
Variance3696294150
MonotocityNot monotonic
2021-01-24T14:02:12.620273image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
0350611.7%
 
3902350.8%
 
780940.3%
 
316790.3%
 
326620.2%
 
150580.2%
 
396470.2%
 
2400390.1%
 
2500370.1%
 
416360.1%
 
Other values (21000)2580786.0%
 
ValueCountFrequency (%) 
-813341< 0.1%
 
-613721< 0.1%
 
-530071< 0.1%
 
-466271< 0.1%
 
-375941< 0.1%
 
ValueCountFrequency (%) 
9271711< 0.1%
 
8235401< 0.1%
 
5870671< 0.1%
 
5517021< 0.1%
 
5478801< 0.1%
 

BILL_AMT6
Real number (ℝ)

HIGH CORRELATION
ZEROS

Distinct20604
Distinct (%)68.7%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean38871.7604
Minimum-339603
Maximum961664
Zeros4020
Zeros (%)13.4%
Memory size234.4 KiB
2021-01-24T14:02:12.743705image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum-339603
5-th percentile0
Q11256
median17071
Q349198.25
95-th percentile161912
Maximum961664
Range1301267
Interquartile range (IQR)47942.25

Descriptive statistics

Standard deviation59554.10754
Coefficient of variation (CV)1.53206613
Kurtosis12.27070529
Mean38871.7604
Median Absolute Deviation (MAD)16755
Skewness2.846644576
Sum1166152812
Variance3546691724
MonotocityNot monotonic
2021-01-24T14:02:12.875834image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
0402013.4%
 
3902070.7%
 
780860.3%
 
150780.3%
 
316770.3%
 
326560.2%
 
396450.1%
 
416360.1%
 
-18330.1%
 
2400320.1%
 
Other values (20594)2533084.4%
 
ValueCountFrequency (%) 
-3396031< 0.1%
 
-2090511< 0.1%
 
-1509531< 0.1%
 
-946251< 0.1%
 
-738951< 0.1%
 
ValueCountFrequency (%) 
9616641< 0.1%
 
6999441< 0.1%
 
5686381< 0.1%
 
5277111< 0.1%
 
5275661< 0.1%
 

PAY_AMT1
Real number (ℝ≥0)

ZEROS

Distinct7943
Distinct (%)26.5%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean5663.5805
Minimum0
Maximum873552
Zeros5249
Zeros (%)17.5%
Memory size234.4 KiB
2021-01-24T14:02:13.008988image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum0
5-th percentile0
Q11000
median2100
Q35006
95-th percentile18428.2
Maximum873552
Range873552
Interquartile range (IQR)4006

Descriptive statistics

Standard deviation16563.28035
Coefficient of variation (CV)2.924524575
Kurtosis415.2547427
Mean5663.5805
Median Absolute Deviation (MAD)1932
Skewness14.66836433
Sum169907415
Variance274342256.1
MonotocityNot monotonic
2021-01-24T14:02:13.121407image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
0524917.5%
 
200013634.5%
 
30008913.0%
 
50006982.3%
 
15005071.7%
 
40004261.4%
 
100004011.3%
 
10003651.2%
 
25002981.0%
 
60002941.0%
 
Other values (7933)1950865.0%
 
ValueCountFrequency (%) 
0524917.5%
 
19< 0.1%
 
214< 0.1%
 
3150.1%
 
4180.1%
 
ValueCountFrequency (%) 
8735521< 0.1%
 
5050001< 0.1%
 
4933581< 0.1%
 
4239031< 0.1%
 
4050161< 0.1%
 

PAY_AMT2
Real number (ℝ≥0)

SKEWED
ZEROS

Distinct7899
Distinct (%)26.3%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean5921.1635
Minimum0
Maximum1684259
Zeros5396
Zeros (%)18.0%
Memory size234.4 KiB
2021-01-24T14:02:13.239642image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum0
5-th percentile0
Q1833
median2009
Q35000
95-th percentile19004.35
Maximum1684259
Range1684259
Interquartile range (IQR)4167

Descriptive statistics

Standard deviation23040.8704
Coefficient of variation (CV)3.891274139
Kurtosis1641.631911
Mean5921.1635
Median Absolute Deviation (MAD)1991
Skewness30.45381745
Sum177634905
Variance530881708.9
MonotocityNot monotonic
2021-01-24T14:02:13.359827image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
0539618.0%
 
200012904.3%
 
30008572.9%
 
50007172.4%
 
10005942.0%
 
15005211.7%
 
40004101.4%
 
100003181.1%
 
60002830.9%
 
25002510.8%
 
Other values (7889)1936364.5%
 
ValueCountFrequency (%) 
0539618.0%
 
1150.1%
 
2200.1%
 
3180.1%
 
411< 0.1%
 
ValueCountFrequency (%) 
16842591< 0.1%
 
12270821< 0.1%
 
12154711< 0.1%
 
10245161< 0.1%
 
5804641< 0.1%
 

PAY_AMT3
Real number (ℝ≥0)

ZEROS

Distinct7518
Distinct (%)25.1%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean5225.6815
Minimum0
Maximum896040
Zeros5968
Zeros (%)19.9%
Memory size234.4 KiB
2021-01-24T14:02:13.489268image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum0
5-th percentile0
Q1390
median1800
Q34505
95-th percentile17589.4
Maximum896040
Range896040
Interquartile range (IQR)4115

Descriptive statistics

Standard deviation17606.96147
Coefficient of variation (CV)3.36931393
Kurtosis564.3112295
Mean5225.6815
Median Absolute Deviation (MAD)1795
Skewness17.21663544
Sum156770445
Variance310005092.2
MonotocityNot monotonic
2021-01-24T14:02:13.599890image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
0596819.9%
 
200012854.3%
 
100011033.7%
 
30008702.9%
 
50007212.4%
 
15004901.6%
 
40003811.3%
 
100003121.0%
 
12002430.8%
 
60002410.8%
 
Other values (7508)1838661.3%
 
ValueCountFrequency (%) 
0596819.9%
 
113< 0.1%
 
2190.1%
 
314< 0.1%
 
4150.1%
 
ValueCountFrequency (%) 
8960401< 0.1%
 
8890431< 0.1%
 
5082291< 0.1%
 
4175881< 0.1%
 
4009721< 0.1%
 

PAY_AMT4
Real number (ℝ≥0)

ZEROS

Distinct6937
Distinct (%)23.1%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean4826.076867
Minimum0
Maximum621000
Zeros6408
Zeros (%)21.4%
Memory size234.4 KiB
2021-01-24T14:02:13.716424image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum0
5-th percentile0
Q1296
median1500
Q34013.25
95-th percentile16014.95
Maximum621000
Range621000
Interquartile range (IQR)3717.25

Descriptive statistics

Standard deviation15666.15974
Coefficient of variation (CV)3.246147995
Kurtosis277.3337677
Mean4826.076867
Median Absolute Deviation (MAD)1500
Skewness12.90498482
Sum144782306
Variance245428561.1
MonotocityNot monotonic
2021-01-24T14:02:13.829868image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
0640821.4%
 
100013944.6%
 
200012144.0%
 
30008873.0%
 
50008102.7%
 
15004411.5%
 
40004021.3%
 
100003411.1%
 
25002590.9%
 
5002580.9%
 
Other values (6927)1758658.6%
 
ValueCountFrequency (%) 
0640821.4%
 
1220.1%
 
2220.1%
 
313< 0.1%
 
4200.1%
 
ValueCountFrequency (%) 
6210001< 0.1%
 
5288971< 0.1%
 
4970001< 0.1%
 
4321301< 0.1%
 
4000461< 0.1%
 

PAY_AMT5
Real number (ℝ≥0)

ZEROS

Distinct6897
Distinct (%)23.0%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean4799.387633
Minimum0
Maximum426529
Zeros6703
Zeros (%)22.3%
Memory size234.4 KiB
2021-01-24T14:02:13.953266image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum0
5-th percentile0
Q1252.5
median1500
Q34031.5
95-th percentile16000
Maximum426529
Range426529
Interquartile range (IQR)3779

Descriptive statistics

Standard deviation15278.30568
Coefficient of variation (CV)3.183386475
Kurtosis180.0639402
Mean4799.387633
Median Absolute Deviation (MAD)1500
Skewness11.12741705
Sum143981629
Variance233426624.4
MonotocityNot monotonic
2021-01-24T14:02:14.063372image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
0670322.3%
 
100013404.5%
 
200013234.4%
 
30009473.2%
 
50008142.7%
 
15004261.4%
 
40004011.3%
 
100003431.1%
 
5002500.8%
 
60002470.8%
 
Other values (6887)1720657.4%
 
ValueCountFrequency (%) 
0670322.3%
 
1210.1%
 
213< 0.1%
 
313< 0.1%
 
412< 0.1%
 
ValueCountFrequency (%) 
4265291< 0.1%
 
4179901< 0.1%
 
3880711< 0.1%
 
3792671< 0.1%
 
3320001< 0.1%
 

PAY_AMT6
Real number (ℝ≥0)

ZEROS

Distinct6939
Distinct (%)23.1%
Missing0
Missing (%)0.0%
Infinite0
Infinite (%)0.0%
Mean5215.502567
Minimum0
Maximum528666
Zeros7173
Zeros (%)23.9%
Memory size234.4 KiB
2021-01-24T14:02:14.174003image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Quantile statistics

Minimum0
5-th percentile0
Q1117.75
median1500
Q34000
95-th percentile17343.8
Maximum528666
Range528666
Interquartile range (IQR)3882.25

Descriptive statistics

Standard deviation17777.46578
Coefficient of variation (CV)3.408581541
Kurtosis167.1614296
Mean5215.502567
Median Absolute Deviation (MAD)1500
Skewness10.64072733
Sum156465077
Variance316038289.4
MonotocityNot monotonic
2021-01-24T14:02:14.289440image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
Histogram with fixed size bins (bins=50)
ValueCountFrequency (%) 
0717323.9%
 
100012994.3%
 
200012954.3%
 
30009143.0%
 
50008082.7%
 
15004391.5%
 
40004111.4%
 
100003561.2%
 
5002470.8%
 
60002200.7%
 
Other values (6929)1683856.1%
 
ValueCountFrequency (%) 
0717323.9%
 
1200.1%
 
29< 0.1%
 
314< 0.1%
 
412< 0.1%
 
ValueCountFrequency (%) 
5286661< 0.1%
 
5271431< 0.1%
 
4430011< 0.1%
 
4220001< 0.1%
 
4035001< 0.1%
 
Distinct2
Distinct (%)< 0.1%
Missing0
Missing (%)0.0%
Memory size234.4 KiB
1
23364 
0
6636 
ValueCountFrequency (%) 
12336477.9%
 
0663622.1%
 
2021-01-24T14:02:14.365182image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Interactions

2021-01-24T14:01:17.240004image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:17.346877image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:17.453295image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:17.554642image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:17.663717image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:17.790713image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:17.897937image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:18.008456image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:19.117913image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:19.229059image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:19.352876image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:19.460441image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:19.579750image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:19.691323image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:19.797481image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:19.914051image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:20.013737image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:20.124038image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:20.223771image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:20.328086image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:20.426721image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:20.526564image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:20.626847image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:20.727222image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:20.840054image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:20.955656image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:21.060175image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:21.166513image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:21.300474image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:21.407422image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:21.521987image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:21.644983image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:21.770822image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:21.906765image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:22.020875image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:22.128468image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:22.246808image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:22.350035image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:22.468252image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:22.572476image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:22.698294image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:22.954172image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:23.055302image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:23.168796image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:23.273003image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:23.383515image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:23.488730image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:23.595805image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:23.701502image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:23.806685image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:23.910951image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:24.023106image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:24.135163image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:24.239952image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:24.347900image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:24.450322image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:24.549046image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:24.656088image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:24.753204image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:24.859173image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:24.964254image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:25.067694image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:25.171997image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:25.280252image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:25.394096image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:25.507145image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:25.621258image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:25.736036image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:25.859111image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:25.971284image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:26.084759image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:26.205167image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:26.326408image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:26.438356image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:26.554373image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:26.677955image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:26.794611image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:26.898966image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:27.014206image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:27.125395image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:27.378674image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:27.490495image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:27.608553image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:27.718507image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:27.830522image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:27.942031image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:28.058370image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:28.174313image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:28.293782image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:28.406310image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:28.520054image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:28.643481image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:28.763758image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:28.875564image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:28.996876image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:29.104365image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:29.223538image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:29.332423image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:29.436655image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:29.549190image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:29.651792image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:29.762869image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:29.863455image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:29.969659image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:30.071329image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:30.178303image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:30.287122image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:30.395059image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:30.503246image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:30.611775image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:30.723836image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:30.837145image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:30.948465image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:31.060990image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:31.208783image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:31.351034image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:31.460585image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:31.576217image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:31.684834image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:31.791497image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:31.906159image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:32.008206image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:32.116478image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:32.221454image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:32.328526image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:32.428871image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:32.531002image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:32.863137image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:32.974813image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:33.091343image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:33.207262image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:33.321227image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:33.435837image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:33.551156image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:33.660962image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:33.785869image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:33.897156image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:34.005271image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:34.118946image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:34.226509image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:34.331332image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:34.441264image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:34.543004image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:34.652358image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:34.753237image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:34.860709image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:34.962482image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:35.065801image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:35.173490image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:35.278005image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:35.381141image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:35.490786image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:35.600219image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:35.710627image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:35.818075image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:35.925704image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:36.036794image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:36.145550image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:36.249204image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:36.359014image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:36.462625image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:36.563583image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:36.674515image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:36.774846image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:36.887841image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:36.988819image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:37.095657image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:37.198533image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:37.300698image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:37.407075image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:37.510900image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:37.615126image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:37.725069image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:37.832595image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:37.939620image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:38.049947image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:38.165873image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:38.278257image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:38.388502image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:38.495400image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:38.608822image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:38.718056image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:38.822165image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:38.933799image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:39.216202image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:39.332069image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:39.443635image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:39.553778image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:39.659164image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:39.766933image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:39.875822image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:39.987692image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:40.095489image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:40.207007image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:40.315887image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:40.422006image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:40.531142image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:40.640737image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:40.807695image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:41.118977image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:41.284784image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:41.408427image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:41.524364image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:41.706401image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:41.828839image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:41.946459image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:42.149458image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:42.279640image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:42.413059image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:42.523311image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:42.658571image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:42.772178image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:42.900480image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:43.011556image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:43.140428image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:43.273334image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:43.384459image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:43.490870image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:43.610856image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:43.723175image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:43.834319image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:43.947265image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:44.060531image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:44.168063image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:44.271690image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:44.382637image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:44.488839image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:44.602746image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:44.704229image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:44.814091image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:44.917877image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:45.031472image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:45.149960image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:45.263792image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:45.385050image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:45.507618image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:45.622886image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:45.735471image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:45.849474image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:45.966644image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:46.085722image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:46.197534image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:46.305959image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:46.423476image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:46.537894image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:46.654444image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:46.775503image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:46.883930image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:46.999599image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:47.108960image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:47.221622image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:47.326147image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:47.436428image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:47.540149image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:47.639818image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:47.737869image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:47.842468image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:48.406529image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:48.510009image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:48.615310image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:48.721082image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:48.826062image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:48.929901image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:49.030429image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:49.135319image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:49.233891image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:49.332116image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:49.437123image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:49.532745image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:49.651869image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:49.767459image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:49.880048image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:49.979845image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:50.086612image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:50.279394image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:50.424953image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:50.523001image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:50.628316image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:50.728396image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:50.827671image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:50.927707image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:51.028604image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:51.130565image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:51.244696image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:51.360951image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:51.470798image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:51.568385image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:51.663396image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:51.764823image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:51.859881image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:51.962768image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:52.059042image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:52.155643image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:52.247908image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:52.342489image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:52.451740image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:52.557625image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:52.664399image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:52.776991image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:52.900998image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:53.035311image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:53.155078image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:53.270297image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:53.386167image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:53.500447image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:53.612125image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:53.729987image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:53.838114image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:53.942854image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:54.056489image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:54.160778image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:54.274186image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:54.377737image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:54.487627image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:54.591578image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:54.698870image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:54.796033image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:54.891744image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:54.987472image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:55.087396image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:55.186397image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:55.284037image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:55.385863image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:55.485305image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:55.586114image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:55.685661image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:55.782170image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:55.883609image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:55.978909image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:56.070200image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:56.170975image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:56.262568image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:56.363348image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:56.455434image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:56.552614image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:56.644800image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:56.739088image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:56.849233image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:56.957574image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:57.065529image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:57.176496image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:57.288886image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:57.400250image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:57.512301image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:57.632335image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:57.765304image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:57.886518image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:57.995046image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:58.373918image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:58.486374image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:58.590913image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:58.704298image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:58.807204image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:58.919778image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:59.023970image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:59.133832image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:59.239244image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:59.344480image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:59.443215image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:59.539866image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:59.634577image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:59.732457image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:59.832951image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:01:59.931905image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:00.035265image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:00.133523image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:00.233806image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:00.332070image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:00.426126image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:00.526993image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:00.621538image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:00.712979image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:00.817171image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:00.917057image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:01.019158image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:01.110090image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:01.207941image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:01.299115image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:01.393267image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:01.497882image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:01.602360image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:01.705358image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:01.811744image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:01.917507image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:02.023355image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:02.129162image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:02.236838image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:02.342940image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:02.448447image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:02.550277image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:02.660306image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:02.766480image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:02.869455image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:02.977593image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:03.075666image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:03.183937image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:03.283909image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:03.391460image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:03.490928image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:03.590444image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:03.687101image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:03.780937image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:03.877717image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:03.978494image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:04.078185image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:04.176971image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:04.275711image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:04.374950image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:04.475730image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:04.573980image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:04.669080image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:04.770878image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:04.866385image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:04.957698image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:05.058102image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:05.148912image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:05.250629image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:05.343171image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:05.439424image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:05.531209image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:05.624971image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:05.731049image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:05.831624image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:05.936237image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:06.047207image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:06.152179image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:06.264990image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:06.371698image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:06.474868image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:06.578754image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:06.682551image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:06.781779image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:06.887130image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:06.985022image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:07.080009image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:07.183452image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:07.277121image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:07.382668image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:07.478736image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:07.580368image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:07.676805image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Correlations

2021-01-24T14:02:14.461123image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.
2021-01-24T14:02:14.714211image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.
2021-01-24T14:02:14.968083image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.
2021-01-24T14:02:15.222587image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.
2021-01-24T14:02:15.429160image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Cramér's V (φc)

Cramér's V is an association measure for nominal random variables. The coefficient ranges from 0 to 1, with 0 indicating independence and 1 indicating perfect association. The empirical estimators used for Cramér's V have been proved to be biased, even for large samples. We use a bias-corrected measure that has been proposed by Bergsma in 2013 that can be found here.

Missing values

2021-01-24T14:02:07.939799image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/
2021-01-24T14:02:08.442963image/svg+xmlMatplotlib v3.3.1, https://matplotlib.org/

Sample

First rows

df_indexLIMIT_BALSEXEDUCATIONMARRIAGEAGEPAY_0PAY_2PAY_3PAY_4PAY_5PAY_6BILL_AMT1BILL_AMT2BILL_AMT3BILL_AMT4BILL_AMT5BILL_AMT6PAY_AMT1PAY_AMT2PAY_AMT3PAY_AMT4PAY_AMT5PAY_AMT6default payment next month
00200000312422000039133102689000068900000
11120000032260200022682172526823272345532610100010001000020000
2290000032340000002923914027135591433114948155491518150010001000100050001
3350000031370000004699048233492912831428959295472000201912001100106910001
44500001315700000086175670358352094019146191312000366811000090006896791
55500001023700000064400570695760819394196192002425001815657100010008001
66500000102290000003679654120234450075426534830034739445500040000380002023913750137701
771000000322300000011876380601221-1595673806010581168715421
881400000112800200011285140961210812211117933719332904321000100010001
9920000112350000000000130071391200013007112201

Last rows

df_indexLIMIT_BALSEXEDUCATIONMARRIAGEAGEPAY_0PAY_2PAY_3PAY_4PAY_5PAY_6BILL_AMT1BILL_AMT2BILL_AMT3BILL_AMT4BILL_AMT5BILL_AMT6PAY_AMT1PAY_AMT2PAY_AMT3PAY_AMT4PAY_AMT5PAY_AMT6default payment next month
29990301911400001314100000013832513714213911013826249675461216000700042281505200020001
2999130192210000131343222222500250025002500250025000000000
2999230193100001114300000088021040000002000000001
29993301941000001023800000030421427102996706266947355004200011178440003000200020001
299943019580000132342222227255777708793847751982607811587000350007000040000
29995301962200001113900000018894819281520836588004312371598085002000050033047500010001
299963019715000011243000000168318283502897951900183735268998129001
2999730198300001323743200035653356275820878205821935700220004200200031000
29998301998000011141100000-16457837976304527741185548944859003409117819265296418040
299993020050000131460000004792948905497643653532428153132078180014301000100010000